Transportable charge in a periodic alternating gradient system
A simple set of formulas is derived which relate emittance, line charge density, matched maximum and average envelope radii, occupancy factors, and the (space charge) depressed and vacuum values of tune. This formulation is an improvement on the smooth limit approximation; deviations from exact (numerically determined) relations are on the order of + or -2%, while the smooth limit values are in error by up to + or -30%. This transport formalism is used to determine the limits of transportable line charge density in an electrostatic quadrupole array, with specific application to the low energy portion of the High Temperature Experiment of Heavy Ion Fusion Accelerator Research. The line charge density limit is found to be essentially proportional to the voltage on the pole faces and the fraction of occupied aperture area. A finite injection energy (greater than or equal to 2 MeV) is required to realize this limit, independent of particle mass.
- Research Organization:
- Lawrence Berkeley Laboratory, University of California, Berkeley, CA
- OSTI ID:
- 6297904
- Report Number(s):
- CONF-850504-; TRN: 86-004347
- Journal Information:
- IEEE Trans. Nucl. Sci.; (United States), Vol. NS-32:5; Conference: Particle accelerator conference, Vancouver, Canada, 13 May 1985
- Country of Publication:
- United States
- Language:
- English
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Nonlinear dynamics and chaoticity in an intense nonneutral heavy ion beam propagating through a periodic focussing field
Nonlinear dynamics and chaoticity in an intense nonneutral heavy ion beam propagating through a periodic focussing field
Related Subjects
HEAVY ION ACCELERATORS
CHARGE TRANSPORT
SPACE CHARGE
BEAM EMITTANCE
BEAM INJECTION
BEAM TRANSPORT
CHARGE DENSITY
ELECTROSTATIC ACCELERATORS
HEAVY ION FUSION REACTIONS
ION BEAMS
MEV RANGE 01-10
QUADRUPOLES
ACCELERATORS
BEAMS
ENERGY RANGE
MEV RANGE
MULTIPOLES
NUCLEAR REACTIONS
430303* - Particle Accelerators- Experimental Facilities & Equipment
430200 - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics